Only one part of each name (either first name or last name) is used.
Each part of the name that is used (again, first name or last name) links directly to one of 50 things that you should be at least somewhat familiar with… and, a previous hint and the flavortext should give you a better ideas as to what.
Once you’ve found the link, list the referred-to items and index into the new list by the corresponding position number according to a baseball scoring system (1st base = 3, 2nd base = 4, 3rd base = 5, etc.). It’s OK if you have to look this up, it is common with puzzles like these.